Conformal operads and the basic vertex algebra cohomology complex

2024/07/08 by De Sole, Alberto, Heluani, Reimundo, Kac, Victor
#17B63 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 17B69 #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Secondary 17B56

paper · doi:10.48550/arxiv.2407.05725

Abstract

We develop the notion of a (pro-) conformal pseudo operad and apply it to the construction of the basic cohomology complex of a vertex algebra. The paper heavily uses the ideas and constructions of the work of Tamarkin [Tam02]

Related

• Vertex operator algebras and operads
• Computation of cohomology of vertex algebras
• The Cohomology of Algebras over Moduli Spaces
• Algebraic operad of SUSY vertex algebra
• Shifted Vertex Operator Algebras